always has a single solution
false
The pair of equations have one ordered pair that is a solution to both equations. If graphed the two lines will cross once.
A consistent system of equations is one in which there is at least one set of values for the variables that satisfies all the equations simultaneously. In graphical terms, this means that the lines or planes represented by the equations intersect at one or more points. A consistent system can be classified as either independent (with a unique solution) or dependent (with infinitely many solutions). In contrast, an inconsistent system has no solutions, meaning the equations represent parallel lines or planes that do not intersect.
The three types of linear equations are: Consistent Dependent, Consistent Independent, and Inconsistent.
polyphonic texture
false
consistent dependent
Suppose we have two linear equations in two unknowns. If the equations are plotted on a rectangular grid, the graph will fit one of these scenarios: 1) The two lines cross each other (intersect). 2) The two lines don't cross - they are parallel lines 3) The two lines fall on top of each other - they're really the same line. In case 3) the two lines are dependent - one can be changed into the other. In cases 1) and 2) we say the lines are independent. If the pair of equations has a solution (one or more points in common) we say they are consistent ... cases 1) and 3). In case 2) the system is inconsistent; there is no solution. To summarize: 1) Intersecting lines are consistent and independent. 2) Parallel lines are inconsistent and independent. 3) Coincident ["happen together"] lines are consistent and dependent. *** A second order linear system CANNOT be both dependent and inconsistent.
The pair of equations have one ordered pair that is a solution to both equations. If graphed the two lines will cross once.
A consistent system of equations is one in which there is at least one set of values for the variables that satisfies all the equations simultaneously. In graphical terms, this means that the lines or planes represented by the equations intersect at one or more points. A consistent system can be classified as either independent (with a unique solution) or dependent (with infinitely many solutions). In contrast, an inconsistent system has no solutions, meaning the equations represent parallel lines or planes that do not intersect.
The three types of linear equations are: Consistent Dependent, Consistent Independent, and Inconsistent.
With compound sentences, the two independent clauses are each diagrammed on their own base lines. (A+)
Independent Sources - 2008 Lengthening Food Lines 4-3 was released on: USA: 2 November 2011
Consistent rhythm combined with lines of a set length is called music.
polyphony
polyphonic
polyphony